Biologists have proposed a cubic polynomial to model the length L of rock bass at age A: L = 0.0155A3 - 0.372A2 + 3.95A + 1.21 where L is measured in inches and A in years. Calculate dL dA A = 15 (Round your answer to three decimal places.) dL dA LA = 15 x in/yr = -7.21 Interpret your answer. A 15-year old rock fish shrinks at a rate of 55.113 in/yr. O A 15-year old rock fish grows at a rate of 51.860 in/yr. O A 15-year old rock fish grows at a rate of 55.113 in/yr. O A 15-year old rock fish grows at a rate of 3.253 in/yr. O A 15-year old rock fish shrinks at a rate of 3.253 in/yr.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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Biologists have proposed a cubic polynomial to model the length L of rock bass at age A:

L = 0.0155A3 − 0.372A2 + 3.95A + 1.21

where L is measured in inches and A in years. Calculate

dL
dA
   
A = 15
.
 (Round your answer to three decimal places.)
dL
dA
   
A = 15
 =   in/yr



Interpret your answer.

A 15-year old rock fish shrinks at a rate of 55.113 in/yr.A 15-year old rock fish grows at a rate of 51.860 in/yr.    A 15-year old rock fish grows at a rate of 55.113 in/yr.A 15-year old rock fish grows at a rate of 3.253 in/yr.A 15-year old rock fish shrinks at a rate of 3.253 in/yr.
Biologists have proposed a cubic polynomial to model the length L of rock bass at age A:
L = 0.0155A3 - 0.372A2 + 3.95A + 1.21
where L is measured in inches and A in years. Calculate
dL
(Round your answer to three decimal places.)
dA
A = 15
dL
dA TA = 15
= -7.21
X in/yr
Interpret your answer.
A 15-year old rock fish shrinks at a rate of 55.113 in/yr.
A 15-year old rock fish grows at a rate of 51.860 in/yr.
A 15-year old rock fish grows at a rate of 55.113 in/yr.
A 15-year old rock fish grows at a rate of 3.253 in/yr.
A 15-year old rock fish shrinks at a rate of 3.253 in/yr.
Transcribed Image Text:Biologists have proposed a cubic polynomial to model the length L of rock bass at age A: L = 0.0155A3 - 0.372A2 + 3.95A + 1.21 where L is measured in inches and A in years. Calculate dL (Round your answer to three decimal places.) dA A = 15 dL dA TA = 15 = -7.21 X in/yr Interpret your answer. A 15-year old rock fish shrinks at a rate of 55.113 in/yr. A 15-year old rock fish grows at a rate of 51.860 in/yr. A 15-year old rock fish grows at a rate of 55.113 in/yr. A 15-year old rock fish grows at a rate of 3.253 in/yr. A 15-year old rock fish shrinks at a rate of 3.253 in/yr.
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